The table shows the possible outcomes of spinning a fair spinner twice with sections labeled A, B, C, and D.
AB
А
CD
с
A
A, A
B, A
C, A
D, A
B
A, B
B, B
C, B
D, B
Match the situation with its probability.
Spinner landing on at least one A
Spinner landing on C and D in any order
Spinner landing on two Bs
Spinner landing on C on the second spin
с
A, C
B, C
C, C
D, C
16
ロ
0
0
O
0
D
A, D
B, D
C, D
D, D
1
0
0
0
16
0

Kyle may make ten unique solids by utilizing four identical unit cubes.

To create a solid, Kyle can glue the cubes together in different configurations.

Let's break down the possibilities based on the number of cubes that are glued together.

⇒ If all four cubes are glued together, there is only one possible solid.

⇒ If three cubes are glued together, there are four possible configurations: a straight line, an L-shape, a T-shape, and a corner shape.

⇒ If two cubes are glued together, there are three possible configurations: side by side, stacked, or at a right angle.

⇒ If only one cube is glued to another, there are two possible configurations: attached side to side or attached face to face.

To find the total number of distinct solids, we need to add up all the possible configurations.

⇒  1 (all four cubes glued together) + 4 (three cubes glued together) + 3 (two cubes glued together) + 2 (one cube glued to another)

So the answer is 10 distinct solids that Kyle can create using four identical unit cubes.

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The distance between (x, y) and the focus is given by:

d = √((x - 3)² + (y + 1)²)

And the distance between (x, y) and the directrix is given by:

d' = |y + 2|

To find the focus and directrix of the parabola, we need to first determine its equation. Since we are given two points on the parabola, we can use them to write the general form of its equation, which is y = ax² + bx + c, where a, b, and c are constants.

Using the given points (-2, -5) and (6, -1), we can form two equations as follows:

-5 = 4a - 2b + c

-1 = 36a + 6b + c

Solving these equations simultaneously, we get a = 1/4, b = -3/2, and c = -7/4. Therefore, the equation of the parabola is y = (1/4)x² - (3/2)x - (7/4).

The equation of the axis of symmetry is x = -b/2a, which in this case is x = 3. Therefore, the vertex of the parabola is (3, -2).

The distance between the vertex and the focus is given by |1/(4a)|, which in this case is 1. Therefore, the focus of the parabola is (3, -1).

d = √((x - 2)² + (y + 4)²) = √((x - 3)² + 1²)

Squaring both sides of the equation and simplifying, we get:

(x - 2)² + (y + 4)² = (x - 3)² + 1

Expanding and rearranging the terms, we get the equation of the directrix as:

3x - 4y - 2 = 0

Now that we have the focus and directrix of the parabola, we can find the distances from any point on the parabola to them. Let (x, y) be a point on the parabola. Then, the distance between (x, y) and the focus is given by:

d = √((x - 3)² + (y + 1)²)

And the distance between (x, y) and the directrix is given by:

d' = |y + 2|

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Answer:75

Step-by-step explanation:

[tex]\frac{9}{12} =\frac{\frac{9}{3}}{\frac{12}{3} } =\frac{3}{4} \\and percentage is fraction*100\\\frac{3}{4}*100=75[/tex]

How fast did Mr. Mole Descend: 2.3 meters per minute.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about the Mr. Mole's descent, it can be modeled by using this linear equation:

y = mx + c

A = -2.3t - 7

By comparison, we have the following:

Slope, m = -2.3.

y-intercept, c = -7.

In conclusion, a rate of change (slope) of -2.3 simply means that Mr. Mole descended at a speed of 2.3 meters each minute.

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The estimated number of whole cookies of the remaining 60 is 50.  

Estimating is the process of making an approximate calculation or judgment based on incomplete or uncertain information.

It involves using reasoning and previous experience to make an educated guess about a quantity, value, or outcome.

Estimating is often used when exact calculations are not feasible or practical, or when only a rough estimate is needed.

Here we have

Tara made 6 dozen cookies and brought them to the school bake sale in a big container.

She has taken 12 cookies out of the container to give to customers. Of the cookies she has taken out, 2 were broken and 10 were whole.

The total number of cookies Tara made = 6 × 12 = 72 cookies.

She took 12 cookies out of the container i.e 1 dozen

In which broken cookies = 2 i.e 2/12 = 1/6

The whole cookies = 10/12 = 5/6

Hereafter taking 12 cookies, remaining cookies = 72 - 12 = 60

Hence, the estimated number of whole cookies calculated as

the estimated number of whole cookies = (5/6)(60) = 5(10) = 50

Therefore,

The estimated number of whole cookies of the remaining 60 is 50.  

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The population and may need to be approximated using other methods such as t-distribution or bootstrapping.

Population is a group of individuals of the same species living in the same area at the same time. It is a term used in biology, sociology and other fields of study.

Without knowing the specific characteristics of the population, it is difficult to determine the exact distribution of the sample mean of a simple random sample of size 15 drawn from that population.

However, if the population is approximately normally distributed or if the sample size is large enough (usually considered to be n > 30), the sample mean will follow a normal distribution. This is known as the Central Limit Theorem.
Hence, If the population is not normally distributed and the sample size is small, the distribution of the sample mean will depend on the specific characteristics of the population and may need to be approximated using other methods such as the t-distribution or bootstrapping.

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The probability that you will not have to wash the dishes on a given night is 3/5 or 0.6. This is because out of the five children, there are three that are not you, so the probability that one of them will be selected along with you is 3/5.

Alternatively, you could calculate the probability of having to wash the dishes (2/5) and subtract it from 1 to get the probability of not having to wash them, which also gives 3/5 or 0.6.

To calculate the probability that you will not have to wash the dishes on a given night, we need to consider the number of ways you can be excluded from the selection. There are 5 children, and 2 are selected to wash the dishes each night.

There are a total of 10 possible combinations for selecting 2 children out of 5 (using the combination formula: 5! / [2!(5-2)!]). Since you are not included in 4 of those combinations, the probability that you will not have to wash the dishes on a given night is 4 out of 10, or 40%.

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NASA would need a sample size of at least 1499 people.

To determine the sample size required for estimating the fraction of people who black out at g forces greater than 6, we can use the following formula:

[tex]n=\frac{Z^2\times p\times (1-p)}{E^2}[/tex]

n = sample size

Z = z-score

p = estimated population proportion from the earlier study (p = 0.46)

(1 - p) = proportion of the population that does not black out at g forces greater than 6

E = desired margin of error (E = 0.03)

n = ((2.33)² × 0.46 × (1-0.46))/(0.03)²

n = 1498.3764

Rounding up to the next integer, we get a required sample size of n = 1499.

Therefore, NASA would need a sample size of at least 1499 people to estimate the fraction of people who black out at g forces greater than 6, with a 98% confidence level and a margin of error of at most 0.03.

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There are six possible arrangements of the letters in the word "mat": "mat", "mta", "am t", "atm", "tam", and "tma". The tree diagram is attached.

To create a tree diagram of all possible arrangements of the letters in the word "MAT," we start with the first letter, which can be either "M," "A," or "T." Then, for each of these possibilities, we add the next letter, and so on until we have included all three letters. The resulting tree diagram shows all possible combinations of the letters in the word "MAT."

There are a total of 6 possible arrangements of the letters in the word "MAT," as we can see from the tree diagram. Out of these 6 arrangements, only one has the letters in the order "M-A-T," which is "MAT." Therefore, the fractional probability of writing the letters in that order is 1/6 or approximately 0.1667.

This means that if we randomly order the letters of "MAT" many times, we can expect to get the letters in the order "M-A-T" about 16.67% of the time.

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The correct option (with regard to the surface area) is D. 96

Front and back (triangles

There are two triangles (right angle).

They are found by multiplying the 2 legs together.

Area = 1/2 * b * h

b = 4

h = 3

Area = 1/2 * 4 * 3

Area = 6

But there are 2 of them so the Area =                          12

Left face (slanted.

The hypotenuse of the right triangle is 5

a² + b² = c²

a = 3

b = 4

c = ?

3² + 4² = c²

9 + 16 = c²

c^2 = 25

√(c²) = √(25)

c = 5

The front face is 5* 7 =                                 35

Left side

w = 3

L = 7

Area 3 * 7 =                                                   21

Bottom

L = 7

w = 4

Area = L * W

Area = 7 * 4                                                  28

Total                                                              96

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached image.

In a cookie dunk experiment, the dependent variable could be the amount of time it takes for the cookie to become fully saturated and break apart.

What is independent variable?

In scientific experiments, an independent variable is the variable that is intentionally changed or manipulated by the experimenter. It is the variable that is being studied to determine its effect on the dependent variable. n summary, the independent variable is the variable that is being changed in the experiment to determine its effect on the dependent variable.

In a cookie dunk experiment, the controlled variable is the variable that is kept constant throughout the experiment. This could be the type of cookie being used, the temperature of the milk, the amount of milk in each glass, or the time each cookie is dunked.

The independent variable is the variable that is intentionally changed by the experimenter. In this case, it could be the type of liquid being used for dunking, such as milk, coffee, or tea.

The dependent variable is the variable that is being measured and observed as a result of changing the independent variable.

Hence, In a cookie dunk experiment, the dependent variable could be the amount of time it takes for the cookie to become fully saturated and break apart.

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Statistical methods designed for nominal data are not appropriate for interval level data, which involves meaningful differences between values.

The correct answer is (b) interval.

Nominal level of measurement is the lowest level of measurement that involves categorizing data into distinct groups or classes. Examples of nominal data include gender, race, religion, and marital status.

Statistical methods designed for nominal data include mode and frequency distribution. These methods are appropriate for nominal, ordinal, and interval data. However, it would not be appropriate to use them for ratio data, which involves the presence of a true zero point.

Therefore, option (d) is incorrect. Option (b) is the correct answer, as statistical methods designed for nominal data are not appropriate for interval level data, which involves meaningful differences between values.

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Complete Quetion:

If a statistic is designed for nominal level of measurement, then it would be appropriate to use that statistic on data at all these levels of measurement

a. ordinal.

b. interval.

c. ratio.

d. all of the answers are levels of measurement upon which it would be appropriate to use a statistic designed for nominal level.

Answer:

QS = 5√3, so RS = 5√3√3 = 15 feet.

The correct answer is B.

Julio can complete one math problem in 10/3 = 3.33 minutes.

Therefore, he can complete all 14 math problems in 14 x 3.33 = 46.62 minutes.

So, it took Julio approximately 46.62 minutes to complete his math homework.

To solve this problem, we need to use the concept of rate and time. We are given that Julio can complete 3 math problems in 10 minutes, which means his rate of work is 3/10 = 0.3 math problems per minute. We need to find out how long it would take him to complete 14 math problems, which is simply a matter of multiplying the number of problems by his rate of work. So, 14 x 0.3 = 4.2 math problems per minute.

However, we need to convert this to time, so we take the reciprocal of 0.3 to get 3.33 minutes per math problem. Finally, we multiply this by the total number of problems (14) to get the total time it took Julio to complete his homework, which is approximately 46.62 minutes.

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The regular cost per month for a Switch Gears Activity Box subscription is $12.

To find the regular cost per month, Derek needs to subtract the discount he received from the total cost and divide the result by the number of months in his subscription. Let x be the regular cost per month. Then, the equation can be written as follows:

8x - 15 = 81

In this equation, 8x represents the total cost of the 8-month subscription at the regular price. Subtracting $15 from this total cost gives the amount Derek actually paid. Therefore, 8x - 15 = $81.

To find the regular cost per month, Derek needs to isolate x on one side of the equation. He can do this by adding 15 to both sides of the equation, then dividing both sides by 8. The resulting equation is:

8x = 96

x = 12

Derek can now use this information to budget for future subscriptions or compare it to other subscription services.

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The correlation coefficient is approx 0.57, with a positive direction; the slope is 0.41.it seems that the correlation coefficient is approximately 0.57, with a slope of 0.41, indicating a moderately strong positive linear relationship.

To analyze the relationship between age and bone density loss, follow these steps:

1. Open the Excel file containing the data.
2. Create a scatter plot by selecting the data for age (x variable) and bone density loss (y variable).
3. Insert a scatter plot chart from the "Insert" tab in Excel.
4. Add a trendline to the scatter plot by right-clicking on any data point, selecting "Add Trendline," and choosing "Linear."
5. Display the equation and R-squared value on the chart by checking the "Display Equation on chart" and "Display R-squared value on chart" options in the trendline settings.

Based on the information provided in the options, it seems that the correlation coefficient is approximately 0.57, with a slope of 0.41, indicating a moderately strong positive linear relationship. This corresponds to option A:

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To solve this problem, we first need to understand that a rhombus is a quadrilateral with all sides equal in length. Also, the diagonals of a rhombus bisect each other at right angles. Let's assume that the angle between one of the sides and a diagonal is x degrees. Then, the angle between the other diagonal and the same side is 180-x degrees. Since the difference between these two angles is given as 32 degrees, we can set up an equation:
(180-x) - x = 32
Solving this equation, we get:
2x = 148
x = 74
Therefore, the angles of the rhombus are 74 degrees and 106 degrees.

A rhombus is a special type of quadrilateral where all sides are equal in length. Also, the diagonals of a rhombus bisect each other at right angles. In this problem, we are given that the difference of the measures of 2 angles between a side and the diagonals is 32 degrees. To solve for the angles of the rhombus, we need to use the fact that the sum of the interior angles of a quadrilateral is 360 degrees. We assume that one of the angles between a side and a diagonal is x degrees, and set up an equation using the difference given in the problem. Solving this equation gives us the value of x, which allows us to find the other angle.

In a rhombus, the angles between a side and the diagonals are equal. If we are given the difference between these angles, we can use an equation to solve for the measures of these angles. In this problem, we found that the angles of the rhombus are 74 degrees and 106 degrees.

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The area of rhombus can be found using the formula A = (d1 x d2)/2, where d1 and d2 are the lengths of the diagonals. Using area formula, we get A = (24 x 18)/2 the area of the rhombus is 24√(119) square meters.

Let's start by finding the other diagonal of the rhombus.

We know that the perimeter of a rhombus is four times the length of one of its sides. So, if the perimeter is 80 m, then each side has a length of 80/4 = 20 m.

We also know that the diagonals of a rhombus are perpendicular bisectors of each other, and they divide the rhombus into four congruent right triangles. Therefore, each leg of one of these right triangles is half of one of the diagonals of the rhombus.

Let's call the other diagonal of the rhombus d. Then, using the Pythagorean theorem in one of the right triangles, we have

(20/2)² + (d/2)² = 24²

100 + d²/4 = 576

d²/4 = 476

d = 2√(119)

Now that we have both diagonals, we can find the area of the rhombus by multiplying them and dividing by 2

Area = (24 * 2√(119))/2

Area = 24√(119)

Therefore, the area of the rhombus is 24√(119) square meters.

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--The given question is incomplete, the complete question is given

"  The area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m is ..........."--

Answer:

[tex]\sqrt{269}[/tex]
SIMPLIFIED/ROUNDED: 16.40

Step-by-step explanation:

Use the Pythagorean Theorem to solve for a right triangle: [tex]a^{2} +b^{2} =c^{2}[/tex]
The legs are "a" and "b".
The hypotenuse (diagonal across from the right angle) is "c".
(In this case, the hypotenuse is XY.)

To start, fill in the values for the formula, then simplify.
[tex](13)^{2} +(10)^{2} =c^{2}[/tex]

[tex](169)+(100)=c^{2}[/tex]

[tex]269=c^{2}[/tex]

Next, take the square root of each side.
[tex]\sqrt{269} =\sqrt{c^{2} }[/tex]
Taking the square root of c^2 means that the square root and squared (^2) will cancel out, giving you:
[tex]\sqrt{269} = c[/tex]

Using a calculator (likely the TI-30Xa, most schools use those), round [tex]\sqrt{269}[/tex] to the nearest tenth (or hundredth). This step isn't needed unless your teacher asks for that.

[tex]\sqrt{269}[/tex] ≈ 16.40

Answer:Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form. 1.23 × 108; If you observe carefully, 1.23 is a decimal number between 1.0 and 10.0 and so we have the standard form of 123,000,000 as 1.23 × 10 8.

Step-by-step explanation:

P.S i am emo

If the radius of a circle measures 9m, the circumference of the circle is 56.52 meters.

The circumference of a circle is the distance around the circle. It can be calculated using the formula:

C = 2πr

where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Given that the radius of the circle is 9m, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2 × 3.14 × 9

C = 56.52m

It is important to include the correct unit in the answer to indicate the measurement used. In this case, the unit is meters (m).

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The total cost it will take Aunt Melissa to tile her home is $2416

Cost = 200 tiles x $6/tile = $1,200

Since there are 12 inches in a foot, we need to convert the tile size from 3 inches to feet: 3 inches = 0.25 feet. The area of each 3-inch tile is 0.25 x 0.25 = 0.0625 square feet.

The number of 3-inch tiles needed can be found by dividing the bathroom floor area by the area of each tile:

Number of tiles = 80 square feet / 0.0625 square feet per tile = 1,280 tiles

At a cost of $0.95 per tile, the cost for tiling the bathroom will be:

Cost = 1,280 tiles x $0.95/tile = $1,216

Therefore, the total cost for tiling Aunt Melissa's home will be:

Total cost = $1,200 + $1,216 = $2,416.

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The numerator and denominator is D. 3 and 116.

In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:

- Numerator degrees of freedom: k-1

- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)

Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:

- Numerator degrees of freedom: 4-1 = 3

- Denominator degrees of freedom: 120-4 = 116

So the answer is D. 3 and 116.

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(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each vertex of the triangle.

The Circumcenter Theorem is a fundamental concept in geometry that states that the circumcenter of a triangle is equidistant from each of its vertices. In other words, the circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

The circumcenter plays a crucial role in the geometry of triangles, as it is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

The circumcircle has several important properties, such as the fact that the length of the circumcircle's circumference is equal to twice the length of the triangle's longest side.

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Answer:

25

Step-by-step explanation:

If y varies directly as x^2, we can write:

y = kx^2

where k is the constant of proportionality.

To find k, we can use the given information that y = 400 when x = 16:

400 = k(16)^2

400 = 256k

k = 400/256

k = 1.5625

Now that we know the value of k, we can use the equation y = kx^2 to find y when x = 4:

y = 1.5625(4)^2

y = 25

Therefore, when x = 4, y is 25.

Regression analysis is a useful tool for analyzing relationships between variables and making predictions based on data.

the regression equation for the given data set. Here's a step-by-step explanation:

1. Calculate the mean of x-values (X) and y-values (y).
2. Calculate the differences between each x-value and X (xi - X) as well as each y-value and Y (yi - Y).
3. Multiply the differences obtained in step 2: (xi - x)(yi - y).
4. Sum up the products obtained in step 3: Σ(xi - x)(yi - y).
5. Calculate the square of differences between each x-value and X: (xi - x)².
6. Sum up the squared differences obtained in step 5: Σ(xi - x)².
7. Calculate the slope (b): b = [Σ(xi - x)(yi - y)] / [Σ(xi - x)²].
8. Calculate the y-intercept (a): a = y - b * x.
9. Write the regression equation: y = a + bx.

By performing these calculations using the given data set, you'll find the regression equation that best represents the relationship between the x and y variables.

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For two fair dices, one is 6 sided and other one 12 sided,

a) The probability mass function values for all probability values is present in above figure 2.

b) The expected value of this discrete random variable is equals to 9.9999.

c) The variance of this discrete random variable is equals to 14.8339.

We have two fair dices, one is 6 sided fair die with values {1, 2, 3, 4, 5, 6} and a fair 12 sided die with values {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. A discrete random variable is created by rolling the two dice and adding the numerical results together. Now, we have to determine all values. The sample space, S for fair 12 sided die is present in above figure. It is also contains sample space of fair 6 sided die.

a) The probability mass function (pmf) is defined as a function over the sample space of a discrete random variable X which the probability that X is equal to a certain value, that is f(x) = P[X=x]. So,

the probability mass function for the probability of all possible values of this random variable is present in above figure 2.

b) The expected value, E(X), or mean μ of a discrete random variable X, is calculated by multiplying each value of the random variable by its probability and add the products. The formula is , E ( X ) = μ = ∑ x P ( x ), so the table for excepted value determined by using above formula present in above figure 3. So, the excepted value is 9.9999.

d) The variance for discrete variable X is calculated by using the following

[tex]Var(X) = \sum( X - \mu)× P(X)[/tex]

variance value for all probability values is present in above figure. The total sum

= 14.8339

Hence, required variance value is 14.8339.

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The value of the integral  [tex]\int_{1}^{4}\int_{0}^{2}[/tex] (6 x² y - 2 x) dy dx is 222.

Given iterated integral is [tex]\int_{1}^{4}\int_{0}^{2}[/tex] (6 x² y - 2 x) dy dx

[tex]\int_{1}^{4}\int_{0}^{2}[/tex] (6 x² y - 2 x) dy dx =  [tex]\int_{1}^{4}[/tex] [tex][[/tex]1/2 × 6 x² y² - 2 x y[tex]]_0^2[/tex] dy dx

=  [tex]\int_{1}^{4}[/tex]  (3 x² (2)² - 2 x (2) - 0) dx

=  [tex]\int_{1}^{4}[/tex]  (12 x² - 4 x) dx

=  [ 1/3 × 12 x³ - 1/2 × 4 x²[tex]]_1^4[/tex] dx

= 4 (4)³ - 2 (4)² - 4 (1)³ + 2(1)²

= 256 - 32 - 4 + 2

= 222

Therefore, the value of the iterated integral [tex]\int_{1}^{4}\int_{0}^{2}[/tex] (6 x² y - 2 x) dy dx is 222.

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The value of t for a confidence level of 99% and 5 degrees of freedom is 4.032.

The confidence interval is calculated based on the sample mean, the sample standard deviation, the sample size, and the chosen confidence level.

Given the values of caffeine content in 6 trials: 381 mg/l, 405 mg/l, 399 mg/l, 402 mg/l, 395 mg/l, and 404 mg/l.

Sample mean = (381 + 405 + 399 + 402 + 395 + 404) / 6 = 396 mg/l

Sample standard deviation = √([(381-396)² + (405-396)²+ (399-396)² + (402-396)² + (395-396)² + (404-396)²] / (6-1)) = 9.29 mg/l

To calculate the value of t for a confidence level of 99%, we need to look up the t-distribution table with degrees of freedom (df) = n-1 = 5 and the chosen significance level (α) = 0.01 (since we want to calculate the 99% confidence interval, which leaves 1% of the distribution in the tails).

Looking up the t-value from the table, we find that t = 4.032.

Therefore, the value of t for a confidence level of 99% and 5 degrees of freedom is 4.032.

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The three-decimals which are written in expanded form and are greater than 5.3 are (b) 5+0.3+0.001,  (d) (5×1)+(3×0.1)+(3×0.01)  and (e) (6×1)+(2×0.1)+(1×0.01).

A Decimal is a number system that uses a base of ten and a decimal point to separate the whole number from the fractional part. It represents numbers that are not whole or integers, but rather parts of a whole.

To determine which decimals written in expanded-form are greater than 5.3, we simply add up the values of each place value.

The decimals that are greater than 5.3 will have a sum greater than 5.3.

Option (a) : 5+0.3+0.00

= 5 + 0.3,

= 5.3, which is not-greater than 5.3.

Option (b) : 5+0.3+0.001

= 5.3 + 0.001,

= 5.301, which is greater than 5.3.

Option (c) : (5×1)+(2×0.1)+(9×0.01)

= 5 + 0.2 + 0.09,

= 5.2 + 0.09,

= 5.29, which is not greater than 5.3.

Option (d) : (5×1)+(3×0.1)+(3×0.01)

= 5 + 0.3 + 0.03,

= 5.3 + 0.03,

= 5.33, which is greater than 5.3.

Option (e) : (6×1)+(2×0.1)+(1×0.01)

= 6 + 0.2 + 0.01,

= 6.2 + 0.01

= 6.21, which is greater than 5.3.

Therefore, the decimals that are greater than 5.3 are options (b), (d), and (e).

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The given question is incomplete, the complete question is

Which decimals written in expanded form are greater than 5.3 ?

Select three options.

(a) 5+0.3+0.00

(b) 5+0.3+0.001

(c) (5×1)+(2×0.1)+(9×0.01)

(d) (5×1)+(3×0.1)+(3×0.01)

(e) (6×1)+(2×0.1)+(1×0.01)